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`sin 35^(@) sin 55^(@)-cos 55^(@)=0`

Evaluate: sin 35^(@) cdot sin 55^(@) - cos 35^(@) cdot cos 55^(@).

Prove that: (i) cos55^(@)sin 35^(@)+sin 55^(@)cos 35^(@)=1 (ii) (tan 72^(@))/(cot 18^(@))-(cot 72^(@))/(tan18^(@))=0 (iii) sec70^(@)sin 20^(@)+cosec 70^(@)cos 20^(@)=2

Evaluate : (sin 35^(@) cos 55^(@) + cos 35^(@) sin 55^(@))/ (cosec^(2) 10^(@) - tan^(2) 80^(@))

Prove that sin 80^(@) cos20^(@) + sin45^(@) cos145^(@)+sin 55^(@) cos245^(@) = 0

Prove that sin85^(@) - cos65^(@) +cos55^(@)=0

Prove that cos 10^(@) cos20^(@) + sin 45^(@) cos145^(@) + sin 55^(@) cos245^(@) = 0

(sin 85^(@)-sin 25^(@))/(cos 55^(@))= ............... A) 2 B) -1 C) 1 D) 0

show that sin 55 ^(@) sin 25^(@) + cos 70^(@) .cos 10 ^(@) =( (sqrt3+1))/( 4)

Find the value of sin55^(@)-cos35^(@) ?